Some identities and recurrences relations for the q-Bernoulli and q-Euler polynomials

Authors : Veli Kurt

Pages : 1397-1404

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Publication Date : 2015-12-01

Article Type : Research

Abstract :In this article we prove some relations between two-variable q -Bernoulli polynomials and two-variable q -Euler polynomials. By using the equality $e_q(z)E_q(-z)=1$,   we give an identity for the two-variable q -Genocchi polynomials. Also, we obtain an identity for the two-variable q -Bernoulli polynomials. Furthermore, we prove two theorems which are analogues of the q- extension Srivastava-Pinter additional theorem 
Keywords : Bernoulli numbers and polynomials, Genocchi polynomials, generating functions, generalized Genocchi polynomials, q-Bernoulli polynomials, q-Genocchi polynomials, q-Euler polynomials, Euler number and polynomials, generalized Benoulli polynomials